Question

in a certain year, the population of a certain town was 12000. if the next year the population of males increases by 3% and that of the females by 7% and total population increases to 12800, then what was the ratio of population of males and females in that given year?

Answer 1

let the male population be x

Female population be y.

the population of a certain town was 12000.

x + y = 12000

y = 12000- x...(1)

the population of males increases by 3% and that of the females by 7% and total population increases to 12800

net increase= 12800 - 12000 = 800

0.03x + 0.07y = 800

0.03x + 0.07(12000 -x) = 800

0.03x + 840 -0.07x = 800

-0.04x = 800 - 840

-0.04x = -40

0.04x = 40

x = 40/0.04 = 1000

substitute it in (1)

then y = 12000-1000 = 11000

The ratio of males and Female is
1000 : 11000 = 1:11